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| Math Central | Quandaries & Queries |
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Subject: mathematics WHY VOLUME OF CONE IS ONE THIRD OF THE VOLUME OF CYLINDER? |
Hi Ajay,
The usual way to find the volume of a cone is to use calculus. It comes down to integrating x3 which is
1/3 x3 and hence the 1/3.
This may not be very helpful. There is a development of the expression for the volume of a cone that doesn't use calculus. I can supply a reference
The Volume of a Cone, without Calculus
M. Hirschhorn
Mathematics Magazine, Vol. 70, No. 4. (Oct., 1997), pp. 295-296.
It is available on the JSTOR site but this site is available by subscription only.
Sorry I can't be more help,
Penny
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